Study of $D^{+}\to K_S^0{K}^{\ast }(892{)}^{+}$ in $D^{+}\to K_S^0{K}_S^0\ddot{I}{€}^{+}$

Abstract

Using a data sample of $e^{+}{e}^{-}$ collisions corresponding to an integrated luminosity of 7.93 $\mathrm{f}{\mathrm{b}}^{-1}$ collected with the BESIII detector at the center-of-mass energy 3.773~GeV, we perform the first amplitude analysis of the decay $D^{+}\to K_S^0{K}_S^0\ddot{I}{€}^{+}$. The absolute branching fraction of $D^{+}\to K_S^0{K}_S^0\ddot{I}{€}^{+}$ is measured to be $(2.97\pm 0.09_{stat.}\pm 0.05_{syst.})\times 10^{-3}$. The dominant intermediate process is $D^{+}\to K_S^0{K}^{\ast }(892{)}^{+}$, whose branching fraction is determined to be $(8.72\pm 0.28_{stat.}\pm 0.15_{syst.})\times 10^{-3}$, including all the $K^{\ast }(892{)}^{+}$ decays.